Answer: 51
Step-by-step explanation:
So angle C of the triangle and the 111 degree angles next to each other are supplementary angles, so they must add up to 180.
so 111 + C = 180
C = 69 degrees
In a triangle, all three angles must add up to 180
so A + B + C = 180
we already found the value of angle C, and the equations 4y and 3y + 6 are given for angles A and B respectively, so plugging in values we get
(4y) + (3y + 6) + (69) = 180 combine like terms
7y + 75 = 180 and solve for y
7y = 105
y = 15
now that we have the value of y, we can plug it back into B = 3y + 6 to get
B = 3y + 6
B = 3(15) + 6
= 45 + 6
= 51
